Word Count : 171

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We are asked to find the value of [ \vec{a}\cdot\vec{b} + \vec{b}\cdot\vec{c} + \vec{c}\cdot\vec{a} ] given that [ \vec{a} + \vec{b} + \vec{c} = \vec{0}, \quad |\vec{a}|=4, \quad |\vec{b}|=2, \quad |\vec{c}|=3. ] --- Start ________ _____ __________ _____ ______ ___.
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